54 citations · 156 across the 5 of their papers we have counts for
5 papers
Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime
Giacomo Dimarco, Raphaël Loubère, Victor Michel-Dansac +1
In this work, we consider the development of implicit explicit total variation diminishing (TVD) methods (also termed SSP: strong stability preserving) for the compressible isentro…
Study of a fully implicit scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Marie-Hélène Vignal
In this paper, we are interested in the numerical approximation of the classical time-dependent drift-diffusion system near quasi-neutrality. We consider a fully implicit in time a…
Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
Pierre Degond, Hailiang Liu, Dominique Savelief +1
This paper analyzes various schemes for the Euler-Poisson-Boltzmann (EPB) model of plasma physics. This model consists of the pressureless gas dynamics equations coupled with the P…
The Vlasov model under large magnetic fields in the low-Mach number regime
Pierre Degond, Sever Hirstoaga, Marie-Hélène Vignal
This article is concerned with the kinetic modeling, by means of the Vlasov equation, of charged particles under the influence of a strong external electromagnetic field, i.e. when…
An Asymptotic Preserving Scheme for the Euler equations in a strong magnetic field
Pierre Degond, Fabrice Deluzet, Afeintou Sangam +1
This paper is concerned with the numerical approximation of the isothermal Euler equations for charged particles subject to the Lorentz force. When the magnetic field is large, the…